Atkin-Lehner |
3+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809g |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3519360 |
Modular degree for the optimal curve |
Δ |
-139263047186454477 = -1 · 35 · 11 · 139 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 4 1 11+ 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4642856,3848685446] |
[a1,a2,a3,a4,a6] |
j |
-1043732458060453/13132449 |
j-invariant |
L |
0.59553796521081 |
L(r)(E,1)/r! |
Ω |
0.29776897231143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94809m1 |
Quadratic twists by: 13 |